English

Bilinear Approach to N=2 Supersymmetric KdV equations

Exactly Solvable and Integrable Systems 2010-10-29 v1

Abstract

The N=2 supersymmetric KdV equations are studied within the framework of Hirota's bilinear method. For two such equations, namely N=2,a=4N=2, a=4 and N=2,a=1N=2, a=1 supersymmetric KdV equations, we obtain the corresponding bilinear formulations. Using them, we construct particular solutions for both cases. In particular, a bilinear B\"{a}cklund transformation is given for the N=2,a=1N=2, a=1 supersymmetric KdV equation.

Keywords

Cite

@article{arxiv.0809.0947,
  title  = {Bilinear Approach to N=2 Supersymmetric KdV equations},
  author = {Meng-Xia Zhang and Q. P. Liu and Ya-Li Shen and Ke Wu},
  journal= {arXiv preprint arXiv:0809.0947},
  year   = {2010}
}

Comments

13 pages

R2 v1 2026-06-21T11:17:09.979Z